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Finding the Third Proportional to 71,232.75 and 112,795.31

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Solution

The third proportional to 71,232.75 and 112,795.31 is: 178,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,232.75 : 112,795.31 = 112,795.31 : x
  2. Step 2: Convert to fraction form
    71,232.75/112,795.31 = 112,795.31/x
  3. Step 3: Cross multiply
    71,232.75x = 112,795.31 × 112,795.31
  4. Step 4: Simplify right side
    71,232.75x = 12,722,782,521.97
  5. Step 5: Solve for x
    x = 12,722,782,521.97/71,232.75
  6. Step 6: Final answer
    x = 178,608.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.